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Alex787 [66]
2 years ago
8

X/13 - 1 = 5x/2 + 1/2please answer the question pls pls pls pls ​

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
8 0

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

<u>the </u><u>given </u><u>expression</u><u> </u><u>can </u><u>be </u><u>solved </u><u>as </u><u>follows </u><u>~</u>

\frac{x}{13}  - 1 =  \frac{5x}{2}  +  \frac{1}{2}  \\

<u>taking </u><u>LCM </u><u>both </u><u>the </u><u>sides </u><u>,</u>

\frac{x - 13}{13}  =  \frac{5x + 1}{2}  \\

<u>on </u><u>cross </u><u>multiplying </u><u>,</u>

(x - 13)2 = (5x + 1)13 \\  \\ \implies \: 2x - 26 = 65x + 13

<u>let's</u><u> </u><u>now </u><u>gather </u><u>the </u><u>like </u><u>terms </u><u>at </u><u>either </u><u>sides </u><u>of </u><u>the </u><u>equation</u><u> </u><u>~</u>

65x - 2x =  - 26 - 13 \\  \\ \implies \: 63x =  - 39 \\  \\ \implies \: x =  \frac{\cancel{ - 39}}{\cancel{63}}

<u>on </u><u>simplifying </u><u>the </u><u>equation</u><u> </u><u>,</u>

\implies \frac{-13}{21}\\

hope helpful ~

abruzzese [7]2 years ago
5 0
X = -13/21. i used algebra to solve this. it’s too long to type out unless you want an explanation
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Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

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x = 0 and x = 300

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To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

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2)

The slope of a function in a certain range is given by

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y=mx \rightarrow y = 3.57 x

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Again, to calculate the slope of the hill, we use:

m=\frac{\Delta y}{\Delta x}

where

\Delta y is the change in the y-coordinate

\Delta x is the change in the x-coordinate

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\Delta y = 60-200 = -140

\Delta x = 300-200 = 100

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m=\frac{-140}{100}=-1.4

4)

As before, the rate of change of the hill is

m=\frac{\Delta y}{\Delta x}

For the blue hill, we have:

\Delta y = 30-230 = -300

\Delta x = 200-60 = 140

So the rate of change is

m=\frac{-300}{140}=-2.1

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

|m| = 1.4

For the blue hill:

|m|=2.1

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

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Learn more about functions:

brainly.com/question/3511750

brainly.com/question/8243712

brainly.com/question/8307968

#LearnwithBrainly

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